Which statement is true about this data set? {43, 46, 48, 57, 42, 47, 48, 44, 46, 45, 48}
2 answers:
Answer:
Option D.
Step-by-step explanation:
The given data set is
43, 46, 48, 57, 42, 47, 48, 44, 46, 45, 48
Arrange the data in ascending order.
42, 43, 44, 45, 46, 46, 47, 48, 48, 48, 57
Divide the data in 4 equal parts.
(42, 43), 44, (45, 46), 46, (47, 48), 48, (48, 57)
The interquartile rage is
Lower fence:
Upper fence:
If the data lie outside the lower and upper fence, then that element is known as outliers.
57 is an outlier because it is greater than the upper fence.
Therefore, the correct option is D.
You might be interested in
We have to find the" ratio of the area of sector ABC to the area of sector DBE".
Now,
the general formula for the area of sector is
Area of sector= 1/2 r²θ
where r is the radius and θ is the central angle in radian.
180°= π rad
1° = π/180 rad
For sector ABC, area= 1/2 (2r)²(β°)
= 1/2 *4r²*(π/180 β)
= 2r²(π/180 β)
For sector DBE, area= 1/2 (r)²(3β°)
= 1/2 *r²*3(π/180 β)
= 3/2 r²(π/180 β)
Now ratio,
Area of sector ABC/Area of sector DBE =
= 4/3